Solve the initial value problem below using the method of Laplace transforms. 3ty" ty+y=4, y(0) = 4, y'(0) = -2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =
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- Solve the initial value problem below using the method of Laplace transforms. w'' - 4w' + 4w=24t+28, w(-2)= -2, w'(-2) = 5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.b) Using the table of standard transforms, find the Laplace transforms of the following functions: (i) 6e-²t cosh(5t) (ii) t² e ³tApply the translation theorem to find the inverse Laplace transform of the following function. F(s) = %3D 2s - 16 Click the icon to view the table of Laplace transforms. L-^{F(s)} =O (Type an expression using t as the variable.)
- y" + 16y = 16t - 64t + 98, y(0) = 0, y'(0) = 4 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =Find Fourier transform for the following functions:x(t)=3+(sin2wt)2Solve the initial value problem below using the method of Laplace transforms. w" - 12w' + 36w = 36t+132, w(-2)= -2, w'(-2)= - 20 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. w(t) = (Type an exact answer in terms of e.)
- Solve the initial value problem below using the method of Laplace transforms. w''+w=3t² +6, w(0) = 3, w'(0) = -5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.Which two transformations of Figure WXYZ show that it is similar to Figure W’X’Y’Z’ ?Determine L '{F}. 4s + 3 sF(s) – 5F(s) = %3D 2 s + 10s + 25 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. L =
- Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the Laplace transform of the function below. 6t3e-2t-t5+ cos 2t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 26t³e-21-15+ cos 2t} = -Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution. w''+w=2u(t-3)-u(t-4); w(0) = 2, w'(0)=0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.Sole the IVP using the method of laplace transforms. w''-10w'+25w=25t+140 w(-2)=1 w'(-2)=-12